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- The probability of a positive reaction of the patient to a test developed against a disease is 0.4. Calculate the probability that the first positive response will occur in experiment 5.The statement below is true/false: A type II error is defined as rejecting H1 when it is true. Producers’ risk in rejecting product with good quality is a type I error. Power of a test is the probability of accepting H0 when it is falseThe time it takes me to wash the dishes is uniformly distributed between 8 minutes and 17 minutes.What is the probability that washing dishes tonight will take me between 11 and 12 minutes?Give your answer accurate to two decimal places.
- For the probability distribution of a discrete random variables, the probabilities of any single value of x is alwaysPlease make a possible answerFrom observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
- You want to find the probability that people will return a shopping cart to the corral after loading the groceries in their vehicle. For a 4 hours period, you observe the number of people who returned their cart and the number who did not. A success in this case would be that the person returned their cart. Choose the best statistical tool to calculate this probability A. Use the Central Limit Theorem to find the probability that the sample mean exceeds a certain value B. Use the empirical rule to find the number of cars that bracket 68% of the data C. Calculate a confidence interval for the population mean D. Calculate the total number of successes divided by the total number of observations to find the observed probabilityA sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 3 cars needs to have oil added. If this is true, what is the probability of each of the following: (a) What is the probability that at least two of the next 5 cars need oil? Probability = (b) What is the approximate probability that between 181 and 216 of the next 600 cars need oil (Use the Normal approximation technique)? Probability =A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.
- The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 20 minutes.What is the probability that washing dishes tonight will take me between 14 and 19 minutes?Give your answer accurate to two decimal places.From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 22 minutes.What is the probability that washing dishes tonight will take me between 19 and 21 minutes?Give your answer accurate to two decimal places.